Telangana Integrated Common Entrance Test
Question : The curved surface area of a solid cylinder of height 15 cm is 660 cm2. What is the volume (in cm3) of the cylinder? $\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 2060
Option 2: 2540
Option 3: 2310
Option 4: 3210
Correct Answer: 2310
Solution : Let the radius of the cylinder be $r$. Given, the height of the cylinder, $h$ = 15 cm Curved surface area = $2\pi rh = 660\ \text{cm}^2$ $⇒r = \frac{660\times 7}{22 \times h\times 2}$ $⇒r = \frac{4620}{44 \times 15}$ $\therefore r = 7\ \text{cm}$ Now, Volume of the cylinder is $=\pi r^2h=\frac{22}{7}\times7\times7\times15= 2310\ \text{cm}^3$ Hence, the correct answer is 2310 cm3.
Question : Assertion : (A)The talent gap in India needs to be closed in order to improve human capital and create a more productive labour force. Reason (R): Because skills are observable and transferable, their owner is not required.
Option 1: Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
Option 2: Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
Option 3: Assertion (A) is true but Reason (R) is False.
Option 4: Assertion (A) is False but Reason (R) is true.
Correct Answer: Assertion (A) is true but Reason (R) is False.
Solution : A person with higher education is more skilled and productive. He has the capacity to learn new abilities and create novel approaches. Skills are intangible in nature and can't be separated from their owner. Hence option c is the correct answer.
Question : An amount becomes double in 8 years on simple interest. In how many years would Rs. 25,000 become Rs. 1,00,000 with the same rate of interest?
Option 1: 32
Option 2: 28
Option 3: 16
Option 4: 24
Correct Answer: 24
Solution : Let the principal sum be P and the rate be R. Simple Interest, SI = P Time, n = 8 years Simple Interest =$\frac{\text{Principal×Rate×Time}}{100}$ ⇒ P = $\frac{P×R×8}{100}$ ⇒ R = $\frac{100}{8}$ = 12.5% ⇒ P = Rs. 25,000 Total amount = P + Simple interest 100000 = 25000 + Simple interest $\therefore$ Simple interest = 75000 Simple interest =$\frac{\text{Principal×Rate×Time}}{100}$ ⇒ 75000 = $\frac{25000×12.5×n}{100}$ ⇒ $n = 3 × 8 = 24$ years Hence, the correct answer is 24.
Question : Select the option that can be used as a one-word substitute for the given group of words. A collection of selected writings of various authors
Option 1: Trilogy
Option 2: Sequel
Option 3: Anthology
Option 4: Etymology
Correct Answer: Anthology
Solution : The correct choice is the third option.
An anthology is a compilation of various pieces of writing, such as poems, stories, or essays, usually by different authors. It's specifically curated to present a theme or range of styles and subjects.
The meanings of other words are:
Therefore, the right answer is anthology.
Question : Put the appropriate prepositions in the blanks given the following sentences : All the teachers and the students agreed ...................... my plan.
Option 1: of
Option 2: into
Option 3: to
Option 4: by
Correct Answer: to
Solution : The correct answer is option 3.
Explanation:
One of the most widely used prepositions in English is "to." The preposition "to" is also a part of the verb's infinitive form. To means "in order to" when the preposition "to" is used as an infinitive of purpose.
For example:Susan hasn't worked so hard (in order) to give up!
Question : If the number 583_437 is completely divisible by 9, then the smallest whole number in place of the blank space will be:
Option 1: 4
Option 2: 5
Option 3: 3
Option 4: 6
Correct Answer: 6
Solution : Let the missing number be x The sum of the digits = (5 + 8 + 3 + x + 4 + 3 + 7) = (30 + x) The sum of digits is between 30 to 39. The only number divisible by 9 that lies between 30 and 39 is 36. So, 30 + x = 36 or, x = 6 Hence, the correct answer is 6.
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